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Finding the Third Proportional to 1,535,417,976 and 3,315,498,108

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Solution

The third proportional to 1,535,417,976 and 3,315,498,108 is: 7,159,306,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,417,976 : 3,315,498,108 = 3,315,498,108 : x
  2. Step 2: Convert to fraction form
    1,535,417,976/3,315,498,108 = 3,315,498,108/x
  3. Step 3: Cross multiply
    1,535,417,976x = 3,315,498,108 × 3,315,498,108
  4. Step 4: Simplify right side
    1,535,417,976x = 10,992,527,704,151,580,672
  5. Step 5: Solve for x
    x = 10,992,527,704,151,580,672/1,535,417,976
  6. Step 6: Final answer
    x = 7,159,306,375.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.